Experimental and numerical investigation of cellular Stokes flow in a special wedge-shaped channel bounded by a cylindrical surface

Cellular Stokes flow induced by rotation of a circular cylinder in a wedge-shaped channel bounded by a cylindrical surface is analysed experimentally and numerically. Flow visualization experiments have been carried out in the wedge-shaped channel. In the numerical calculations, series in terms of polar coordinates are used to represent the stream function. Numerical solution of the biharmonic equation has been obtained for this geometry. Streamline patterns are obtained for different wedge lengths. Excellent agreement is found between the experimental and the corresponding numerical results.